Ok, say someone was trying to find someone they once knew. What advice would you give them? Its a woman who's since gotten married and divorced since the last time you talked to them back in the early/mid 90's and has also had a kid. Previous address (ownership was not in her name) and maiden name is known but that's about it. Approximate time frame for divorce as well as child was born are known. All the Classmates.com type sites have been checked with negative results and she's not in the phonebook or anything like that, at least with her maiden name (married name is unknown and she probably kept it unless she got married again). If it helps all this is in Indiana.
Public records will cost you, but are probably the best way to find her. If you know her address (city) then the newspaper morgue (some papers have this online now) for birth and divorce announcements would help you find her married name. Does she still use her married name, or did she go back to her old name? You can try anywho.com in her old name just to be sure.
Hope this helps. I might come up with some other ideas after a good night's sleep.
In answer to your question, perhaps if you do have information about "when" and "where" the child was born, you could check the vital statistics for that state for birth records. That way you would probably find the mother's name cross-referenced, as they always ask for the maiden name as well as the married name.
Just an idea. It is difficult. I've lost track of so many people that were a part of my life years ago. I wonder about them...what they are doing...and how they have been coping. Several have since left JW's like I did.